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Finding the Fourth Proportional to 1,128.55, 1,693.58 and 398.13

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Solution

The fourth proportional to 1,128.55, 1,693.58 and 398.13 is: 597.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,128.55 : 1,693.58 = 398.13 : x
  2. Step 2: Convert to fraction form
    1,128.55/1,693.58 = 398.13/x
  3. Step 3: Cross multiply
    1,128.55x = 1,693.58 × 398.13
  4. Step 4: Simplify right side
    1,128.55x = 674,265.01
  5. Step 5: Solve for x
    x = 674,265.01/1,128.55
  6. Step 6: Final answer
    x = 597.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.